P vs NP as an Entropic No-Go Theorem: Algorithmic Positivity, Kolmogorov Obstruction, and the Impossibility of Witness Compression

We propose a reformulation of the P vs NP problem as an entropic No-Go theorem. We introduce algorithmic positivity and show the Entropic Separation Conjecture is equivalent to P ≠ NP. Systematic barrier analysis (relativization, natural proofs, algebrization). Three concrete Bridge Targets are identified for closing the Uniformity Bridge. Published in English and German versions. Part of the Functional Stability Theory (FST) programme. Changes in Version 1.2 (March 2026) Major: Instance compression bridge strategy elaborated (Remark rem:compression-bridge): 3-step argument via Fortnow–Santhanam no-sparsification connecting witness-finding to PH collapse Minor: Remaining quantifier-order gap explicitly identified Changes in Version 1.1 (March 2026) Major: Resolution-Width Conjecture connecting proof complexity to entropic hardness Major: Resolution width as thermodynamic observable Minor: Bibkeys unified, AC0 entropy obstruction proposition